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arXiv · 1012.0486

Representations of Higher Adelic Groups and Arithmetic

A. N. Parshin
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Abstract

We discuss the following topics: n-dimensional local fields and adelic groups; harmonic analysis on local fields and adelic groups for two-dimensional schemes (function spaces, Fourier transform, Poisson formula); representations of discrete Heisenberg groups; adelic Heisenberg groups and their representations arising from two-dimensional schemes.

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A. N. Parshin. 2010-12-02. Representations of Higher Adelic Groups and Arithmetic. https://arxiv.org/abs/1012.0486

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